What 2 square numbers subtract to make 9264?

What two square numbers subtract to make 9264? In other words, when you subtract one square number from another square number, the answer is 9264. What are the two square numbers?

First, note that a square number is what you get when you multiply a number by itself, which means that the square root of a square number will equal a whole number. Thus, this is what we are solving:

A² - B² = 9264

We solved the equation above and found this to be true:

205² - 181² = 9264

205² is 42025 and 181² is 32761, therefore the answer to the question "What 2 square numbers subtract to make 9264?" is 42025 and 32761 as illustrated below:

42025 - 32761 = 9264

Note that there may be more than one solution to a problem like this. Above, we found the lowest combination of square numbers that subtract to 9264. Below we list alternate solutions if available.

153664 - 144400 = 9264
339889 - 330625 = 9264
600625 - 591361 = 9264

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